Enumerating finite class-2-nilpotent groups on 2 generators
We compute the numbers g(n,2,2) of nilpotent groups of order n, of class at most 2 generated by at most 2 generators, by giving an explicit formula for the Dirichlet generating function \sum_{n=1}^\infty g(n,2,2)n^{-s}.
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| Format: | Article |
| Language: | English |
| Published: |
2009-10.
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| Online Access: | Get fulltext |
| Summary: | We compute the numbers g(n,2,2) of nilpotent groups of order n, of class at most 2 generated by at most 2 generators, by giving an explicit formula for the Dirichlet generating function \sum_{n=1}^\infty g(n,2,2)n^{-s}. |
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